Subtract the polynomials. (Simplify your answer completely.) \[ \left(5 a^{2}-4 a+2\right)-\left(a^{2}-5 a+5\right) \] SUBMIT ANSWER

To subtract the polynomials, you'll first distribute the negative sign to terms in the second polynomial: \[ (5a^{2} - 4a + 2) - (a^{2} - 5a + 5) = 5a^{2} - 4a + 2 - a^{2} + 5a - 5 \] Next, combine like terms: - For \(a^{2}\): \(5a^{2} - a^{2} = 4a^{2}\) - For \(a\): \(-4a + 5a = 1a\) or simply \(a\) - For the constant terms: \(2 - 5 = -3\) Putting it all together, the simplified answer is: \[ 4a^{2} + a - 3 \]